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- What is general and particular solution of differential equation?
- What is general solution of differential equation with example?
What is general and particular solution of differential equation?
A particular solution of differential equation is a solution of the form y = f(x), which do not have any arbitrary constants. The general solution of the differential equation is of the form y = f(x) or y = ax + b and it has a, b as its arbitrary constants.
What is general solution of differential equation with example?
Geometrically, the general solution represents an n-parameter family of curves. For example, the general solution of the differential equation dy/dx = 8x² which is found to be y = x³ + C, where c is considered as an arbitrary constant, represents a one-parameter family of curves as shown in the figure given below.
